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David PennistonAssociate ProfessorDepartment of Mathematics University of Wisconsin Oshkosh Oshkosh, WI 54901-8631 Office: 103 Swart Hall Phone: Fax: (920) 424-1812 Email: pennistd@uwosh.edu |
- The above picture of me was taken at the peak of Mount Zirkel in Colorado.
Curriculum vita
Spring 2012 schedule
- Math 204 @ 10:20, Math 349/549 @ 12:40
Help is available in the Mathematics Tutoring Lab
Notes for Math 349/549 (Number Theory)
Conferences and other activities
- In the summer of 2006 I worked with
the REU in
Computational Number Theory and Combinatorics at Clemson University.
Research Interests
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Number theory and arithmetic geometry. My areas of study include
modular forms, elliptic curves,
partitions, degeneration of curves and jacobians and K3 surfaces.
Publications
- Congruences for l-regular partition functions
modulo 3
(with David Furcy), Ramanujan Journal, accepted for publication.
- Average Frobenius distributions for elliptic curves
over abelian extensions
(with Neil Calkin, Bryan Faulkner, Kevin James and Matt King),
Acta Arithmetica 149 (2011), no. 3, 215-244.
- l-divisibility of l-regular partition functions
(with Brian Dandurand), Ramanujan Journal 19 (2009), no. 1, 63-70.
- Arithmetic properties of non-harmonic weak Maass forms
(with Kathrin Bringmann), Proceedings of the American Mathematical Society 137 (2009), 825-833.
- Divisibility properties of the 5-regular and 13-regular partition functions
(with Neil Calkin, Nate Drake, Kevin James, Shirley Law, Philip Lee and Jeanne Radder), Integers 8 (2008), no. 2, A60, 10pp.
- p-adic properties of Maass forms arising from theta series
(with Sharon Garthwaite), Mathematical Research Letters 15 (2008), no. 3, 459-470.
- Arithmetic of l-regular partition functions,
International Journal of Number Theory 4 (2008), no. 2, 295-302.
- Congruences for 3F2 hypergeometric functions over finite fields
(with Ken Ono), Illinois Journal of Mathematics 46 (2002), no. 3, 679-684.
- The p^a-regular partition function modulo p^j,
Journal of Number Theory 94 (2002), no. 2, 320-325.
- Zeta functions of an infinite family of K3 surfaces
(with Scott Ahlgren and Ken Ono), American Journal of Mathematics 124 (2002), 353-368.
- 3-regular partitions and a modular K3 surface
(with Jeremy Lovejoy), Contemporary Mathematics 291 (2001), 177-182.
- The 2-adic behavior of the number of partitions into distinct
parts
(with Ken Ono), Journal of Combinatorial Theory (series A) 92 (2000), 138-157.
- Unipotent groups and curves of genus two,
Mathematische Annalen 317 (2000) 1, 57-78.
- Unipotent groups associated to reduced curves,
Transactions of the American Mathematical Society 352 (2000), no. 11, 5025-5043.
Education
- Ph.D. in Mathematics, University of Georgia, 1998.
- M.S. in Physics, University of Michigan, 1991.
- B.S. in Physics and Mathematics, University of Wisconsin, 1990.
Other interests
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I enjoy most sports, including tennis, cross country skiing,
rollerblading, ultimate frisbee
and running.
I have run the New York City Marathon, skated the North Shore Inline Marathon,
and skied the American Birkebeiner.
I am currently in the process of hiking the Appalachian Trail, section by section.
So far I have hiked from the trail head at Springer Mountain in Georgia to North Adams, Massachusetts,
about 1580 miles. In the summer of 2003 I hiked the Wonderland Trail, which I would recommend
highly to anyone who loves hiking; for a hike in the southeast, the Foothills Trail is very nice.